Xavier opened a savings account and deposited 2,000.00. The account earns 15% interest, compounded monthly. If he wants to use the money to buy a new bicycle in 3 years, how much will he be able to spend on the bike?

Solution

X a v i er o p e n e d a s a v in g s a cco u n t an d d e p os i t e d 2, 000.00. T h e a cco u n t e a r n s 15% in t eres t, co m p o u n d e d m o n t h l y . I f h e w an t s t o u se t h e m o n ey t o b u y a n e w bi cyc l e in 3 ye a rs, h o w m u c h w i ll h e b e ab l e t o s p e n d o n t h e bik e ?

Amount : 3127.89

Solution steps

Translate the problem into an equation:

A = 2000 (1 + \frac{0.15}{12})^{12 \cdot 3}

2000 (1 + \frac{0.15}{12})^{12 \cdot 3} = 3127.88763 \dots

Round to the nearest hundredth:

3127.89

Amount : 3127.89